document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=503513>Question 503513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me with this question. The measure of each interior angle of a regular polygon is three times the measure of each exterior angle. How many sides does the polygon have? Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339269 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=339269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can you please help me with this question. The measure of each interior angle of a regular polygon is three times the measure of each exterior angle. How many sides does the polygon have? <BR>\n" );
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document.write( "Each exterior/interior pair are supplementary.<BR>\n" );
document.write( "Let the exterior angle be \"x\".<BR>\n" );
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document.write( "x + 3x = 180<BR>\n" );
document.write( "4x = 180<BR>\n" );
document.write( "x = 45 degrees<BR>\n" );
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document.write( "The sum of all the exterior angles is 360 degrees.<BR>\n" );
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document.write( "# of exterior degrees = 360/45 = 8<BR>\n" );
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document.write( "# of sides = # of extgerior angles = 8<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
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